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Finding the Third Proportional to 827,964 and 1,687,275

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Solution

The third proportional to 827,964 and 1,687,275 is: 3,438,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,964 : 1,687,275 = 1,687,275 : x
  2. Step 2: Convert to fraction form
    827,964/1,687,275 = 1,687,275/x
  3. Step 3: Cross multiply
    827,964x = 1,687,275 × 1,687,275
  4. Step 4: Simplify right side
    827,964x = 2,846,896,925,625
  5. Step 5: Solve for x
    x = 2,846,896,925,625/827,964
  6. Step 6: Final answer
    x = 3,438,430.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.